42024042404224 has 64 divisors (see below), whose sum is σ = 88259142297600. Its totient is φ = 19901571125760.

The previous prime is 42024042404219. The next prime is 42024042404303. The reversal of 42024042404224 is 42240424042024.

42024042404224 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 42024042404224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112480914 + ... + 112853905.

It is an arithmetic number, because the mean of its divisors is an integer number (1379049098400).

Almost surely, 2^{42024042404224} is an apocalyptic number.

It is an amenable number.

42024042404224 is an abundant number, since it is smaller than the sum of its proper divisors (46235099893376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42024042404224 is a wasteful number, since it uses less digits than its factorization.

42024042404224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225334911 (or 225334899 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 34.

Adding to 42024042404224 its reverse (42240424042024), we get a palindrome (84264466446248).

The spelling of 42024042404224 in words is "forty-two trillion, twenty-four billion, forty-two million, four hundred four thousand, two hundred twenty-four".